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Finding the Fourth Proportional to 228,572.98, 342,882 and 78,793.56

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Solution

The fourth proportional to 228,572.98, 342,882 and 78,793.56 is: 118,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,572.98 : 342,882 = 78,793.56 : x
  2. Step 2: Convert to fraction form
    228,572.98/342,882 = 78,793.56/x
  3. Step 3: Cross multiply
    228,572.98x = 342,882 × 78,793.56
  4. Step 4: Simplify right side
    228,572.98x = 27,016,893,439.92
  5. Step 5: Solve for x
    x = 27,016,893,439.92/228,572.98
  6. Step 6: Final answer
    x = 118,198.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.